This course is a capstone course for future secondary school teachers, drawing connections between undergraduate advanced mathematics courses and topics of school mathematics such as number and quantity, algebra, functions, and geometry and measurement to better prepare future secondary school teachers for teaching. This course is not designed for a review of the contents of secondary school mathematics, nor deeper discussions of pedagogical issues in secondary school mathematics classroom, but for the synthesis of advanced mathematical knowledge from college level mathematics that gives a teacher perspective on the trajectory and growth of mathematical ideas on and beyond school mathematics. Some general areas of mathematics that are presumed to provide breadth and depth of understanding of secondary school mathematics are calculus, linear algebra, number theory, abstract algebra, real and complex analysis, college geometry and mathematical modeling.

UW-Madison Department of Mathematics

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